A non-linear high order explicit differential transform based method for solving initial value problems

2015 ◽  
Vol 9 ◽  
pp. 1111-1127 ◽  
Author(s):  
E. R. El-Zahar ◽  
A. M. N. Ebady ◽  
Y. S. Hamed
Keyword(s):  
Initial Value Problems ◽  
High Order ◽  
Initial Value ◽  
Differential Transform ◽  
Non Linear

scholarly journals New explicit high‐order one‐step methods for singular initial value problems

2020 ◽  
Author(s):  
Bohdan Datsko ◽  
Myroslaw Kutniv ◽  
Andriy Kunynets ◽  
Andrzej Włoch
Keyword(s):  
Initial Value Problems ◽  
High Order ◽  
Initial Value ◽  
One Step

scholarly journals High-order nonlinear initial-value problems countably determined

2009 ◽  
Vol 228 (1) ◽  
pp. 77-82 ◽  
Author(s):  
D. Gámez ◽  
A.I. Garralda Guillem ◽  
M. Ruiz Galán
Keyword(s):  
Initial Value Problems ◽  
High Order ◽  
Initial Value

scholarly journals High order linear initial-value problems and Schauder bases

2007 ◽  
Vol 31 (12) ◽  
pp. 2629-2638 ◽  
Author(s):  
E. Castro ◽  
D. Gámez ◽  
A.I. Garralda Guillem ◽  
M. Ruiz Galán
Keyword(s):  
Initial Value Problems ◽  
High Order ◽  
Initial Value ◽  
Order Linear ◽  
Schauder Bases

Rotating and stratified fluid flow

1964 ◽  
Vol 19 (3) ◽  
pp. 415-432 ◽  
Author(s):  
Kathleen Trustrum
Keyword(s):  
Fluid Flow ◽  
Initial Value Problems ◽  
Equations Of Motion ◽  
Stratified Fluid ◽  
Stratified Fluids ◽  
Initial Value ◽  
Downstream Side ◽  
Non Linear ◽  
Oseen Approximation ◽  
Inertial Terms

For flows in either rotating or stratified fluids, a technique is developed for solving initial-value problems using an Oseen approximation to the non-linear inertial terms in the equations of motion. The resulting equations for either application are similar. The solutions bear a strong qualitative resemblence to observed flows of both kinds, being characterized at small Rossby or Froude numbers by a blocked flow upstream of an obstacle and waves on the downstream side.

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